4.4 Article

Notes on the BMS group in three dimensions: I. Induced representations

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP06(2014)129

Keywords

Conformal and W Symmetry; Space-Time Symmetries; AdS-CFT Correspondence; Classical Theories of Gravity

Funding

  1. Fund for Scientific Research-FNRS (Belgium)
  2. IISN-Belgium
  3. Communaute francaise de Belgique - Actions de Recherche Concertees

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The Bondi-Metzner-Sachs group in three dimensions is the symmetry group of asymptotically flat three-dimensional spacetimes. It is the semi-direct product of the diffeomorphism group of the circle with the space of its adjoint representation, embedded as an abelian normal subgroup. The structure of the group suggests to study induced representations; we show here that they are associated with the well-known coadjoint orbits of the Virasoro group and provide explicit representations in terms of one-particle states.

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